Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity

Details Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity

2011-11-12

arxiv.org/abs/1111.2926v1

Mathematics

Analysis of PDEs

23 pages

Scientific paper

We study the incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity and general initial data in the whole space $\mathbb{R}^d$ $(d=2,3)$. We first establish the existence of classic solutions on a time interval independent of the Mach number. Then, by deriving uniform a priori estimates, we obtain the convergence of the solution to that of the incompressible magnetohydrodynamic equations as the Mach number tends to zero.

Affiliated with

Also associated with

No associations

Rating

Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3190